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please show step by step is there an issue solving this problem? 1. [50 pts) Given:...
1. [50 pts) Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Crm for a normally incident wave. 42 cos ,- cos e Solution: Answer: 1/2 cos 0,+ coses I х ET & H E: MA H Z 0 E as H
1. [50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: HP FIGURE 6.23 TM polarization Answer: ITM 1/2 cos - cos, 1/2 cos 0+11 cos
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
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Consider a uniform transverse electromagnetic plane wave be normally incident on an interface between region 1 and region 2, at z = 0. Let the known incident wave in region 1 be (1.20) E(1)(r) = Â Ee-ikız îkı * E")(r) у ki H*)(r) E e-ikız. (1.21) ωμι wi where kı = w M€1. Let the unknown reflected wave be (1.22) E")(r) = în Ef")eikız ku r(r) Hr)(r) = -ġ whi EX")eikiz (1.23) and the unknown transmitted...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
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understanding how to get rid of the Bessel Function. Thank you!
We've seen that the wave equation takes the form 1 af 2 12 = 0, where V2 is the Laplacian, v is the wave velocity, and f is the function describing the wave. In two Cartesian dimensions the Laplacian reduces to V2 f = 0f + 3f, which is a very convenient form for solving systems with rectangular...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Need help solving a linear programming problem. Can you please use step by teps in excel solver and show work so I can follow. Thank you. Portfolio Xi= The amount of dollars to invest in stock i i=1=A, 2=B, 3=C, 4=D, 5=E Max Expected Return Z=4.5X1+5.2X2+6.0X3+7.2X4+4.2X5 Subject to: X1+X3<=50,000 X2+X5<=50,000 X4<=50,000 X1>=20,000 X3<=0.2(X1+X3) X1+X2+X3+x4+X5<=100,000 Xi>=0 for all i